What is the Greatest Common Factor of 18381 and 18387?

Greatest common factor (GCF) of 18381 and 18387 is 3.

GCF(18381,18387) = 3

We will now calculate the prime factors of 18381 and 18387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18381 and 18387.

How to find the GCF of 18381 and 18387?

We will first find the prime factorization of 18381 and 18387. After we will calculate the factors of 18381 and 18387 and find the biggest common factor number .

Step-1: Prime Factorization of 18381

Prime factors of 18381 are 3, 11, 557. Prime factorization of 18381 in exponential form is:

18381 = 3¹ × 11¹ × 557¹

Step-2: Prime Factorization of 18387

Prime factors of 18387 are 3, 227. Prime factorization of 18387 in exponential form is:

18387 = 3⁴ × 227¹

Step-3: Factors of 18381

List of positive integer factors of 18381 that divides 18381 without a remainder.

1, 3, 11, 33, 557, 1671, 6127

Step-4: Factors of 18387

List of positive integer factors of 18387 that divides 18381 without a remainder.

1, 3, 9, 27, 81, 227, 681, 2043, 6129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18381 and 18387. The biggest common factor number is the GCF number.
So the greatest common factor 18381 and 18387 is 3.

Also check out the Least Common Multiple of 18381 and 18387